Question

Which of these represents K+ constant along the C+ characteristic line?

(a) θ + ν(M) = const

(b) θ – ν(M) = const

(c) θ + 2ν(M) = const

(d) θ – 2ν(M) = const

I have been asked this question in an internship interview.

I would like to ask this question from Determination of Compatibility Equations in section Numerical Techniques for Steady Supersonic Flow of Aerodynamics

Answer 1

The correct answer is (a) θ + ν(M) = const

For explanation I would say: The K+ constant along the C+ characteristic line is obtained by integrating the compatibility equation dθ = ∓\(\sqrt {M^2 – 1}\frac {dV}{V}\). Where, ν(M) is the Prandtl – Meyer function and we obtain the K+ constant as θ + ν(M) = const.